The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is

At 25$$^\circ$$C and 1 atm pressure, the enthalpy of combustion of benzene (I) and acetylene (g) are $$-$$ 3268 kJ mol$$

Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it depresses the freezing point by

The Ksp for bismuth sulphide (Bi2S3) is 1.08 $$\times$$ 10$$-$$73. The solubility of Bi2S3 in mol L$$-$$1 at 298 K is :

The correct order of electron gain enthalpies of Cl, F, Te and Po is

Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : The

The correct order of reduction potentials of the following pairs is A. Cl2/Cl$$-$$ B. I2/I$$-$$ C. Ag+/Ag D. Na+/Na E. L

The metal ion (in gaseous state) with lowest spin-only magnetic moment value is :

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : A m

During halogen test, sodium fusion extract is boiled with concentrated HNO3 to

Amongst the following, the major product of the given chemical reaction is

In the given reaction 'A' can be

Which of the following conditions or reaction sequence will NOT give acetophenone as the major product?

The major product formed in the following reaction, is

Which of the following ketone will NOT give enamine on treatment with secondary amines? [where t-Bu is $$-$$C(CH3)3]

A protein 'A' contains 0.30% of glycine (molecular weight 75). The minimum molar mass of the protein 'A' is __________ $

Amongst BeF2, BF3, H2O, NH3, CCl4 and HCl, the number of molecules with non-zero net dipole moment is ____________.

At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When th

A solution of Fe2(SO4)3 is electrolyzed for 'x' min with a current of 1.5 A to deposit 0.3482 g of Fe. The value of x is

Amongst FeCl3.3H2O, K3[Fe(CN)6] and [Co(NH3)6]Cl3, the spin-only magnetic moment value of the inner-orbital complex that

How many of the given compounds will give a positive Biuret test ____________ ? Glycine, Glycylalanine, Tripeptide, Biur

The neutralization occurs when 10 mL of 0.1M acid 'A' is allowed to react with 30 mL of 0.05 M base M(OH)2. The basicity

Let $$A = \{ x \in R:|x + 1|

Let a, b $$\in$$ R be such that the equation $$a{x^2} - 2bx + 15 = 0$$ has a repeated root $$\alpha$$. If $$\alpha$$ and

Let z1 and z2 be two complex numbers such that $${\overline z _1} = i{\overline z _2}$$ and $$\arg \left( {{{{z_1}} \ove

The system of equations $$ - kx + 3y - 14z = 25$$ $$ - 15x + 4y - kz = 3$$ $$ - 4x + y + 3z = 4$$ is consistent for all

$$\mathop {\lim }\limits_{x \to {\pi \over 2}} \left( {{{\tan }^2}x\left( {{{(2{{\sin }^2}x + 3\sin x + 4)}^{{1 \over 2

The area of the region enclosed between the parabolas y2 = 2x $$-$$ 1 and y2 = 4x $$-$$ 3 is

The coefficient of x101 in the expression $${(5 + x)^{500}} + x{(5 + x)^{499}} + {x^2}{(5 + x)^{498}} + \,\,.....\,\, +

Water is being filled at the rate of 1 cm3 / sec in a right circular conical vessel (vertex downwards) of height 35 cm a

If $${b_n} = \int_0^{{\pi \over 2}} {{{{{\cos }^2}nx} \over {\sin x}}dx,\,n \in N} $$, then

If $$y = y(x)$$ is the solution of the differential equation $$2{x^2}{{dy} \over {dx}} - 2xy + 3{y^2} = 0$$ such that $$

The value of 2sin (12$$^\circ$$) $$-$$ sin (72$$^\circ$$) is :

A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark n i

The value of $${\tan ^{ - 1}}\left( {{{\cos \left( {{{15\pi } \over 4}} \right) - 1} \over {\sin \left( {{\pi \over 4}}

The line y = x + 1 meets the ellipse $${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$ at two points P and Q. If r is the ra

Let $$A = \left( {\matrix{ 2 & { - 2} \cr 1 & { - 1} \cr } } \right)$$ and $$B = \left( {\matrix{ { - 1}

Let $$f(x) = \left[ {2{x^2} + 1} \right]$$ and $$g(x) = \left\{ {\matrix{ {2x - 3,} & {x

The value of b > 3 for which $$12\int\limits_3^b {{1 \over {({x^2} - 1)({x^2} - 4)}}dx = {{\log }_e}\left( {{{49} \over

If the sum of the co-efficient of all the positive even powers of x in the binomial expansion of $${\left( {2{x^3} + {3

If the mean deviation about the mean of the numbers 1, 2, 3, .........., n, where n is odd, is $${{5(n + 1)} \over n}$$,

Let $$\overrightarrow b = \widehat i + \widehat j + \lambda \widehat k$$, $$\lambda$$ $$\in$$ R. If $$\overrightarrow a

The total number of three-digit numbers, with one digit repeated exactly two times, is ______________.

Let $$f(x) = |(x - 1)({x^2} - 2x - 3)| + x - 3,\,x \in R$$. If m and M are respectively the number of points of local mi

Let l1 be the line in xy-plane with x and y intercepts $${1 \over 8}$$ and $${1 \over {4\sqrt 2 }}$$ respectively, and l

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Two

Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by

A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing t

A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10$$^\circ

A copper block of mass 5.0 kg is heated to a temperature of 500$$^\circ$$C and is placed on a large ice block. What is t

The ratio of specific heats $$\left( {{{{C_P}} \over {{C_V}}}} \right)$$ in terms of degree of freedom (f) is given by :

For a particle in uniform circular motion, the acceleration $$\overrightarrow a $$ at any point P(R, $$\theta$$) on the

Two metallic plates form a parallel plate capacitor. The distance between the plates is 'd'. A metal sheet of thickness

Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The valu

Given below are two statements : Statement I : Susceptibilities of paramagnetic and ferromagnetic substances increase wi

A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number

A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $$\mu$$F a

The electromagnetic waves travel in a medium at a speed of 2.0 $$\times$$ 108 m/s. The relative permeability of the medi

The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio $${{{I_{\ma

A light whose electric field vectors are completely removed by using a good polaroid, allowed to incident on the surface

A proton, a neutron, an electron and an $$\alpha$$ particle have same energy. If $$\lambda$$p, $$\lambda$$n, $$\lambda$$

Identify the logic operation performed by the given circuit:

If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. The

For $$z = {a^2}{x^3}{y^{{1 \over 2}}}$$, where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are

A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without sk

A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = $$\sqrt{x

Moment of Inertia (M.I.) of four bodies having same mass 'M' and radius '2R' are as follows: I1 = M.I. of solid sphere a

Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R1 = 3200 km and R2 = 800 km respe

When a gas filled in a closed vessel is heated by raising the temperature by 1$$^\circ$$C, its pressure increases by 0.4

27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the res

In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $$\mu$$F and R = 10 $$\Omega